Lecture: Intro: Metric spaces, Topological spaces 

• Homework 1 

Lecture: Basis for a Topology; Closed sets Homework 4 

• Homework 2 

Lecture: Limits of sequences 

• Homework 3 

Lecture: Some important standard topologies 

Lecture: More on Closed sets and Limit Points 

• Homework 4 

Lecture: Continuous Functions (1) 

Lecture: Continuous Functions (2) 

• Homework 5 

Lecture: Connectedness 

• Homework 6 

Lecture: Compactness (1) 

• Homework 7 

Lecture: Compactness (2)